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Finding the Fourth Proportional to 26,730, 40,097.28 and 7,008.48

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Solution

The fourth proportional to 26,730, 40,097.28 and 7,008.48 is: 10,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,730 : 40,097.28 = 7,008.48 : x
  2. Step 2: Convert to fraction form
    26,730/40,097.28 = 7,008.48/x
  3. Step 3: Cross multiply
    26,730x = 40,097.28 × 7,008.48
  4. Step 4: Simplify right side
    26,730x = 281,020,984.93
  5. Step 5: Solve for x
    x = 281,020,984.93/26,730
  6. Step 6: Final answer
    x = 10,513.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.